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Finding the Fourth Proportional to 2,597.70, 3,584.82 and 1,549.80

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Solution

The fourth proportional to 2,597.70, 3,584.82 and 1,549.80 is: 2,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.70 : 3,584.82 = 1,549.80 : x
  2. Step 2: Convert to fraction form
    2,597.70/3,584.82 = 1,549.80/x
  3. Step 3: Cross multiply
    2,597.70x = 3,584.82 × 1,549.80
  4. Step 4: Simplify right side
    2,597.70x = 5,555,754.04
  5. Step 5: Solve for x
    x = 5,555,754.04/2,597.70
  6. Step 6: Final answer
    x = 2,138.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.